№ 6.5 Алгебра = № 11.5 Математика
Подайте у вигляді дробу:
1. $\frac{12m^2}{7c^4}:\frac{6m^4}{35c^3};$
2. $\frac{9m^2}{22n^3}:\left(-\frac{m^5}{11n^6}\right);$
3. $\frac{-7ab}{4cd}:\frac{21a^2b}{8cd^3};$
4. $-\frac{27m^2n}{7c^2x}:\left(-\frac{9mn^2}{7c^2x^3}\right).$
Розв'язок:
1. $\frac{12m^2}{7c^4}:\frac{6m^4}{35c^3}=\frac{12m^2\cdot35c^3}{7c^4\cdot6m^4}=\frac{10}{cm^2};$
2. $\frac{9m^2}{22n^3}:\left(-\frac{m^5}{11n^6}\right)=$
$= -\frac{9m^2\cdot11n^6}{22n^3\cdot m^5} = -\frac{9n^3}{2m^3};$
3. $\frac{-7ab}{4cd}:\frac{21a^2b}{8cd^3}=-\frac{7ab\cdot8cd^3}{4cd\cdot21a^2b}=$
$= -\frac{2d^2}{3a};$
4. $-\frac{27m^2n}{7c^2x}:\left(-\frac{9mn^2}{7c^2x^3}\right)=$
$= \frac{27m^2n\cdot7c^2x^3}{7c^2x\cdot9mn^2}= \frac{3mx^2}{n}.$